# Find at what value of a the equation has a single root 3x ^ 2-ax + 3 = 0

May 29, 2021 | education

| The equation 3x ^ 2 – ax + 3 = 0 is the usual quadratic equation, which can be solved by the discriminant formula: D = в ^ 2 – 4ac; √Д is substituted into the subsequent formulas, and it is equal to two numbers (- √Д, and + √Д), since both positive and negative numbers in the square will give a positive number. To get one root of the equation without restrictions for x, √Д must equal “0”.

We substitute the values into the formula D and equate to zero:

(- a ^ 2) – 4 * 3 * 3 = 0;

(- a ^ 2) = 36;

a = √36;

a = 6;

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